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Finding the Fourth Proportional to 23,168.16, 31,989.60 and 14,227.92

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Solution

The fourth proportional to 23,168.16, 31,989.60 and 14,227.92 is: 19,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,168.16 : 31,989.60 = 14,227.92 : x
  2. Step 2: Convert to fraction form
    23,168.16/31,989.60 = 14,227.92/x
  3. Step 3: Cross multiply
    23,168.16x = 31,989.60 × 14,227.92
  4. Step 4: Simplify right side
    23,168.16x = 455,145,469.63
  5. Step 5: Solve for x
    x = 455,145,469.63/23,168.16
  6. Step 6: Final answer
    x = 19,645.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.